4 kitchen assistants can prepare 10 kg of vegetables in 30 minutes. How long would it take 25 assistants to prepare the same amount?

1 Answer
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Nov 25, 2016

#4.8" min"#

Explanation:

Assume that all the assistants can prepare vegetables at the same, constant, rate.

If the amount of assistance doubled, the time needed to produce a given amount of vegetables would be halved.

Similarly, if the amount of assistance became #25/4# of its original number, the time needed to produce the same 10 kg of vegetables would become #4/25# of the original time needed.

Thus, the time needed for 25 assistants to prepare 10 kg of vegetables is

#4/25 xx 30" min" = 4.8" min"#

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